Europhys. Lett.
Volume 63, Number 5, September 2003
Page(s) 667 - 673
Section General
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00582-9
Europhys. Lett., 63 (5) , pp. 667-673 (2003)

Suppressing temporal and spatio-temporal chaos by multiple weak resonant excitations: Application to arrays of chaotic coupled oscillators

R. Chacón1, V. Preciado1 and V. Tereshko2

1  Departamento de Electrónica e Ingeniería Electromecánica Escuela de Ingenierías Industriales, Universidad de Extremadura E-06071 Badajoz, Spain
2  Max-Planck-Institute for Mathematics in Sciences Inselstr. 22-26, D-04103 Leipzig, Germany

(Received 10 March 2003; accepted in final form 20 June 2003)

We present theoretical findings concerning control of chaos for a wide and important class of dissipative nonautonomous systems capable of being studied by Melnikov's method and subjected to multiple harmonic chaos-inducing and chaos-controlling excitations. We demonstrate the effectiveness of the method in suppressing spatio-temporal chaos of chains of identical chaotic coupled oscillators -where coherent oscillations are achieved under localized control- through the example of coupled Duffing oscillators.

05.45.Gg - Control of chaos, applications of chaos.
05.45.Xt - Synchronization; coupled oscillators.
05.45.Pq - Numerical simulations of chaotic systems .

© EDP Sciences 2003